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On the Extension of the Domain of Rabin Cryptosystem
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The Rabin cryptosystem is an asymmetric cryptographic algorithm. Its security is based on the problem of integer factorization. Rabin cryptosystem has the advantage that the problem on which its security depends is proved to be as hard as factorization. The Rabin cryptosystem works in the domain of the odd primes which satisfy the criteria that ๐โก3 (๐๐๐ 4), where ๐ is any odd prime. The decryption process is very difficult when we take the odd primes which satisfy ๐โก1 (๐๐๐ 4). Rabin cryptosystem will be more applicable and flexible if we include a wide range of primes. We have extended the domain of primes in Rabin cryptosystem to a subset of the primes satisfying ๐โก5 (๐๐๐ 8). The primes satisfying ๐โก5 (๐๐๐ 8) forms a subset of the primes satisfying ๐โก1 (๐๐๐ 4) without compromising on the security of the Rabin cryptosystem. Our proposed method covers a larger range of primes for the Rabin cryptosystem as compared to original method. Our method is especially useful for resource constrained Networks such as Mobile Ad Hoc Networks (MANET).
Keywords
Rabin Cryptosystem, Cipher Text, Integer Factorization, Mobile Ad Hoc Networks (MANET).
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